Bächle, Andreas; Janssens, Geoffrey; Jespers, Eric; Kiefer, Ann; Temmerman, Doryan A dichotomy for integral group rings via higher modular groups as amalgamated products. (English) Zbl 07526511 J. Algebra 604, 185-223 (2022). MSC: 20E06 20F05 16U60 20C05 20H25 PDF BibTeX XML Cite \textit{A. Bächle} et al., J. Algebra 604, 185--223 (2022; Zbl 07526511) Full Text: DOI OpenURL
Singh, Ravinder Descent of properties of rings and pairs of rings to fixed rings. (English) Zbl 1482.13016 Beitr. Algebra Geom. 63, No. 1, 179-187 (2022). MSC: 13B21 13A50 13A18 13A15 13G05 PDF BibTeX XML Cite \textit{R. Singh}, Beitr. Algebra Geom. 63, No. 1, 179--187 (2022; Zbl 1482.13016) Full Text: DOI OpenURL
Zafrullah, Muhammad Riesz and pre-Riesz monoids. (English) Zbl 1483.13012 Algebra Univers. 83, No. 1, Paper No. 9, 30 p. (2022). Reviewer: T. Tamizh Chelvam (Tirunelveli) MSC: 13A15 13G05 13F05 13A05 13F15 06F05 PDF BibTeX XML Cite \textit{M. Zafrullah}, Algebra Univers. 83, No. 1, Paper No. 9, 30 p. (2022; Zbl 1483.13012) Full Text: DOI arXiv OpenURL
Mundelius, David Arithmetic invariants of pseudoreflection groups and regular graded algebras. (English) Zbl 1479.13009 J. Algebra 595, 244-259 (2022). MSC: 13A50 13C14 20C10 20H15 20F55 PDF BibTeX XML Cite \textit{D. Mundelius}, J. Algebra 595, 244--259 (2022; Zbl 1479.13009) Full Text: DOI arXiv OpenURL
Shum, K. P.; Ostadhadi-Dehkordi, S. A brief survey on semigroups and semihypergroups. (English) Zbl 07552106 Southeast Asian Bull. Math. 45, No. 6, 953-967 (2021). MSC: 20M10 20M75 20-02 PDF BibTeX XML Cite \textit{K. P. Shum} and \textit{S. Ostadhadi-Dehkordi}, Southeast Asian Bull. Math. 45, No. 6, 953--967 (2021; Zbl 07552106) Full Text: Link OpenURL
Fasfous, W. N. T.; Sharafdini, R.; Nath, R. K. Common neighborhood spectrum of commuting graphs of finite groups. (English) Zbl 07486031 Algebra Discrete Math. 32, No. 1, 33-48 (2021). MSC: 20D60 15A18 05C25 PDF BibTeX XML Cite \textit{W. N. T. Fasfous} et al., Algebra Discrete Math. 32, No. 1, 33--48 (2021; Zbl 07486031) Full Text: Link OpenURL
Broche, Osnel; del Río, Ángel The modular isomorphism problem for two generated groups of class two. (English) Zbl 07453735 Indian J. Pure Appl. Math. 52, No. 3, 721-728 (2021). Reviewer: Burkhard Külshammer (Jena) MSC: 16U60 16S34 20C05 20C10 PDF BibTeX XML Cite \textit{O. Broche} and \textit{Á. del Río}, Indian J. Pure Appl. Math. 52, No. 3, 721--728 (2021; Zbl 07453735) Full Text: DOI arXiv OpenURL
Maheshwary, Sugandha The lower central series of the unit group of an integral group ring. (English) Zbl 07453733 Indian J. Pure Appl. Math. 52, No. 3, 709-712 (2021). MSC: 16U60 16S34 20F14 PDF BibTeX XML Cite \textit{S. Maheshwary}, Indian J. Pure Appl. Math. 52, No. 3, 709--712 (2021; Zbl 07453733) Full Text: DOI arXiv OpenURL
Bächle, Andreas; Margolis, Leo From examples to methods: Two cases from the study of units in integral group rings. (English) Zbl 07453731 Indian J. Pure Appl. Math. 52, No. 3, 669-686 (2021). Reviewer: Peter Danchev (Sofia) MSC: 16U60 20C05 20C15 20C20 PDF BibTeX XML Cite \textit{A. Bächle} and \textit{L. Margolis}, Indian J. Pure Appl. Math. 52, No. 3, 669--686 (2021; Zbl 07453731) Full Text: DOI arXiv OpenURL
Kimmerle, Wolfgang; Köster, Iris On the determination of Sylow numbers. (English) Zbl 1485.16034 Indian J. Pure Appl. Math. 52, No. 3, 652-668 (2021). MSC: 16U60 20C10 16S34 PDF BibTeX XML Cite \textit{W. Kimmerle} and \textit{I. Köster}, Indian J. Pure Appl. Math. 52, No. 3, 652--668 (2021; Zbl 1485.16034) Full Text: DOI OpenURL
Huang, Jing; Li, Shuchao Distance-integral Cayley graphs over abelian groups and dicyclic groups. (English) Zbl 1479.05207 J. Algebr. Comb. 54, No. 4, 1047-1063 (2021). MSC: 05C50 05C25 PDF BibTeX XML Cite \textit{J. Huang} and \textit{S. Li}, J. Algebr. Comb. 54, No. 4, 1047--1063 (2021; Zbl 1479.05207) Full Text: DOI OpenURL
Chang, Gyu Whan; Kim, Hwankoo Two extensions of a star operation on \(D\) to the polynomial ring \(D[X]\). (English) Zbl 1476.13008 Kyungpook Math. J. 61, No. 1, 23-32 (2021). MSC: 13A15 13G05 13F20 PDF BibTeX XML Cite \textit{G. W. Chang} and \textit{H. Kim}, Kyungpook Math. J. 61, No. 1, 23--32 (2021; Zbl 1476.13008) Full Text: DOI OpenURL
Dutta, Parama; Nath, Rajat Kanti Various energies of commuting graphs of some super integral groups. (English) Zbl 07422440 Indian J. Pure Appl. Math. 52, No. 1, 1-10 (2021). MSC: 20D99 05C50 15A18 05C25 PDF BibTeX XML Cite \textit{P. Dutta} and \textit{R. K. Nath}, Indian J. Pure Appl. Math. 52, No. 1, 1--10 (2021; Zbl 07422440) Full Text: DOI OpenURL
Garcia, Vitor Araujo; Ferraz, Raul Antonio Central units in some integral group rings. (English) Zbl 07415888 Commun. Algebra 49, No. 9, 4000-4015 (2021). MSC: 20C05 PDF BibTeX XML Cite \textit{V. A. Garcia} and \textit{R. A. Ferraz}, Commun. Algebra 49, No. 9, 4000--4015 (2021; Zbl 07415888) Full Text: DOI OpenURL
Iadarola, Angelo; Sodaïgui, Bouchaïb Relative Galois structure of the square root of the codifferent of non-abelian metacyclic extensions. (Structure galoisienne relative de la racine carrée de la codifférente d’extensions métacycliques non abéliennes.) (French. English summary) Zbl 07408984 Acta Arith. 199, No. 4, 413-432 (2021). Reviewer: Bernhard Köck (Southampton) MSC: 11R33 PDF BibTeX XML Cite \textit{A. Iadarola} and \textit{B. Sodaïgui}, Acta Arith. 199, No. 4, 413--432 (2021; Zbl 07408984) Full Text: DOI OpenURL
Lau, Terry Shue Chien; Wong, Kok Bin On the partitions associated with the smallest eigenvalues of certain Cayley graphs on symmetric group generated by cycles. (English) Zbl 1473.05173 Linear Algebra Appl. 630, 179-203 (2021). MSC: 05C50 05C70 05C25 20C10 05A05 PDF BibTeX XML Cite \textit{T. S. C. Lau} and \textit{K. B. Wong}, Linear Algebra Appl. 630, 179--203 (2021; Zbl 1473.05173) Full Text: DOI OpenURL
Mannan, Wajid H.; Popiel, Tomasz An exotic presentation of \(Q_{28}\). (English) Zbl 1478.57017 Algebr. Geom. Topol. 21, No. 4, 2065-2084 (2021). Reviewer: Stephan Rosebrock (Karlsruhe) MSC: 57K20 57M05 16S34 20C05 20C10 55N25 55P15 55Q91 PDF BibTeX XML Cite \textit{W. H. Mannan} and \textit{T. Popiel}, Algebr. Geom. Topol. 21, No. 4, 2065--2084 (2021; Zbl 1478.57017) Full Text: DOI arXiv OpenURL
Bächle, Andreas; Maheshwary, Sugandha; Margolis, Leo Abelianization of the unit group of an integral group ring. (English) Zbl 07390394 Pac. J. Math. 312, No. 2, 309-334 (2021). MSC: 16U60 20C05 20F14 PDF BibTeX XML Cite \textit{A. Bächle} et al., Pac. J. Math. 312, No. 2, 309--334 (2021; Zbl 07390394) Full Text: DOI arXiv OpenURL
Caicedo, Mauricio; Margolis, Leo Orders of units in integral group rings and blocks of defect 1. (English) Zbl 07381846 J. Lond. Math. Soc., II. Ser. 103, No. 4, 1515-1546 (2021). MSC: 16U60 16S34 20C05 20C20 05E10 PDF BibTeX XML Cite \textit{M. Caicedo} and \textit{L. Margolis}, J. Lond. Math. Soc., II. Ser. 103, No. 4, 1515--1546 (2021; Zbl 07381846) Full Text: DOI arXiv OpenURL
Soleymanpour, Ghorban; Janfada, Ali S. Some algebras in terms of differential operators. (English) Zbl 1467.13038 Int. Electron. J. Algebra 29, 120-133 (2021). MSC: 13N10 55S10 05A40 16T05 55N22 PDF BibTeX XML Cite \textit{G. Soleymanpour} and \textit{A. S. Janfada}, Int. Electron. J. Algebra 29, 120--133 (2021; Zbl 1467.13038) Full Text: Link OpenURL
Huang, Jing; Li, Shuchao Integral and distance integral Cayley graphs over generalized dihedral groups. (English) Zbl 1467.05112 J. Algebr. Comb. 53, No. 4, 921-943 (2021). MSC: 05C25 05C50 20C99 PDF BibTeX XML Cite \textit{J. Huang} and \textit{S. Li}, J. Algebr. Comb. 53, No. 4, 921--943 (2021; Zbl 1467.05112) Full Text: DOI OpenURL
Shumakova, Ekaterina Olegovna Groups of central units of rank 1 of integral group rings of Frobenius metacyclic groups. (English) Zbl 1482.16036 Sib. Èlektron. Mat. Izv. 18, No. 1, 622-639 (2021). Reviewer: Todor Mollov (Plovdiv) MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{E. O. Shumakova}, Sib. Èlektron. Mat. Izv. 18, No. 1, 622--639 (2021; Zbl 1482.16036) Full Text: DOI OpenURL
Gunton, Cody Semistable abelian varieties and maximal torsion 1-crystalline submodules. (English. French summary) Zbl 07359128 J. Théor. Nombres Bordx. 33, No. 1, 39-81 (2021). Reviewer: G. K. Sankaran (Bath) MSC: 11R34 11R33 11G10 14K15 PDF BibTeX XML Cite \textit{C. Gunton}, J. Théor. Nombres Bordx. 33, No. 1, 39--81 (2021; Zbl 07359128) Full Text: DOI arXiv OpenURL
Zheng, Tao; Guo, Xiuyun The normalizer property for finite groups whose Sylow 2-subgroups are abelian. (English) Zbl 07342738 Commun. Math. Stat. 9, No. 1, 87-99 (2021). MSC: 20C05 16S34 20C10 PDF BibTeX XML Cite \textit{T. Zheng} and \textit{X. Guo}, Commun. Math. Stat. 9, No. 1, 87--99 (2021; Zbl 07342738) Full Text: DOI OpenURL
Hamed, Ahmed; Maaref, Walid; Khani-Nasab, Omid Generalizations of Nagata’s theorem. (English) Zbl 1461.13009 Commun. Algebra 49, No. 5, 2033-2040 (2021). Reviewer: Sana Hizem (Monastir) MSC: 13C20 13F05 13A15 13G05 PDF BibTeX XML Cite \textit{A. Hamed} et al., Commun. Algebra 49, No. 5, 2033--2040 (2021; Zbl 1461.13009) Full Text: DOI OpenURL
Jespers, Eric; Sun, Wei-Liang Nilpotent decomposition in integral group rings. (English) Zbl 1473.16022 J. Algebra 575, 127-158 (2021). Reviewer: Todor Mollov (Plovdiv) MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{E. Jespers} and \textit{W.-L. Sun}, J. Algebra 575, 127--158 (2021; Zbl 1473.16022) Full Text: DOI arXiv OpenURL
Sodaïgui, Bouchaïb; Taous, Mohammed On realizable Galois module classes by the inverse different. (English) Zbl 1465.11223 Commun. Algebra 49, No. 2, 763-771 (2021). Reviewer: Günter Lettl (Graz) MSC: 11R33 PDF BibTeX XML Cite \textit{B. Sodaïgui} and \textit{M. Taous}, Commun. Algebra 49, No. 2, 763--771 (2021; Zbl 1465.11223) Full Text: DOI OpenURL
Lee, Joongul Contracted ideals of \(p\)-adic integral group rings. (English) Zbl 1466.16024 Tokyo J. Math. 43, No. 2, 529-536 (2020). Reviewer: Peter Danchev (Sofia) MSC: 16S34 20C05 20C15 PDF BibTeX XML Cite \textit{J. Lee}, Tokyo J. Math. 43, No. 2, 529--536 (2020; Zbl 1466.16024) Full Text: DOI Euclid OpenURL
Lv, Chang Diophantine equations defined by binary quadratic forms over rational function fields. (English) Zbl 1466.11014 Acta Arith. 196, No. 1, 35-51 (2020). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E12 11D57 11R58 14L30 11R37 PDF BibTeX XML Cite \textit{C. Lv}, Acta Arith. 196, No. 1, 35--51 (2020; Zbl 1466.11014) Full Text: DOI arXiv OpenURL
Hai, Jinke Coleman automorphisms of finite groups with a self-centralizing normal subgroup. (English) Zbl 07285991 Czech. Math. J. 70, No. 4, 1197-1204 (2020). MSC: 20C05 16S34 20C10 PDF BibTeX XML Cite \textit{J. Hai}, Czech. Math. J. 70, No. 4, 1197--1204 (2020; Zbl 07285991) Full Text: DOI OpenURL
Jamshidpey, Armin; Lemire, Nicole; Schost, Éric Algebraic construction of quasi-split algebraic tori. (English) Zbl 1454.13009 J. Algebra Appl. 19, No. 11, Article ID 2050206, 12 p. (2020). MSC: 13A50 14L15 20C10 13P10 68W30 PDF BibTeX XML Cite \textit{A. Jamshidpey} et al., J. Algebra Appl. 19, No. 11, Article ID 2050206, 12 p. (2020; Zbl 1454.13009) Full Text: DOI arXiv OpenURL
Maheshwary, Sugandha; Passi, Inder Bir S. Units and augmentation powers in integral group rings. (English) Zbl 1473.16029 J. Group Theory 23, No. 6, 931-944 (2020). Reviewer: Todor Mollov (Plovdiv) MSC: 16U10 16S34 PDF BibTeX XML Cite \textit{S. Maheshwary} and \textit{I. B. S. Passi}, J. Group Theory 23, No. 6, 931--944 (2020; Zbl 1473.16029) Full Text: DOI arXiv OpenURL
Bulacu, Daniel; Torrecillas, Blas Frobenius cowreaths and Morita contexts. (English) Zbl 1455.16025 Forum Math. 32, No. 5, 1143-1175 (2020). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 18M05 16S34 PDF BibTeX XML Cite \textit{D. Bulacu} and \textit{B. Torrecillas}, Forum Math. 32, No. 5, 1143--1175 (2020; Zbl 1455.16025) Full Text: DOI OpenURL
Li, Fei A method to determine algebraically integral Cayley digraphs on finite abelian group. (English) Zbl 1477.05084 Contrib. Discrete Math. 15, No. 2, 148-152 (2020). Reviewer: Kunal Dutta (Warsaw) MSC: 05C20 05C25 20K99 PDF BibTeX XML Cite \textit{F. Li}, Contrib. Discrete Math. 15, No. 2, 148--152 (2020; Zbl 1477.05084) Full Text: DOI arXiv OpenURL
Kerr, Matt; Li, Muxi Two applications of the integral regulator. (English) Zbl 1440.14022 Pac. J. Math. 306, No. 2, 539-556 (2020). MSC: 14C15 14C25 14C30 19E15 PDF BibTeX XML Cite \textit{M. Kerr} and \textit{M. Li}, Pac. J. Math. 306, No. 2, 539--556 (2020; Zbl 1440.14022) Full Text: DOI arXiv OpenURL
Zeidi, Nabil Pairs of rings invariant under group action. (English) Zbl 1448.13012 Beitr. Algebra Geom. 61, No. 3, 543-549 (2020). Reviewer: Simplice Tchamna (Milledgeville) MSC: 13B02 13A50 13A15 13A18 13B22 PDF BibTeX XML Cite \textit{N. Zeidi}, Beitr. Algebra Geom. 61, No. 3, 543--549 (2020; Zbl 1448.13012) Full Text: DOI OpenURL
Mazurek, Ryszard Archimedean domains of skew generalized power series. (English) Zbl 1446.16027 Forum Math. 32, No. 4, 1075-1093 (2020). Reviewer: François Couchot (Caen) MSC: 16S35 16S36 16W60 06F05 13F25 13G05 PDF BibTeX XML Cite \textit{R. Mazurek}, Forum Math. 32, No. 4, 1075--1093 (2020; Zbl 1446.16027) Full Text: DOI OpenURL
Alkauskas, Giedrius Beltrami vector fields with an icosahedral symmetry. (English) Zbl 1445.37017 J. Geom. Phys. 153, Article ID 103655, 13 p. (2020). MSC: 37C10 37C79 15B10 20C05 53C65 58A10 PDF BibTeX XML Cite \textit{G. Alkauskas}, J. Geom. Phys. 153, Article ID 103655, 13 p. (2020; Zbl 1445.37017) Full Text: DOI arXiv OpenURL
Bächle, Andreas; Kimmerle, Wolfgang; Serrano, Mariano On the first Zassenhaus conjecture and direct products. (English) Zbl 1441.16026 Can. J. Math. 72, No. 3, 602-624 (2020). Reviewer: Peter Danchev (Sofia) MSC: 16S34 16U60 20C05 PDF BibTeX XML Cite \textit{A. Bächle} et al., Can. J. Math. 72, No. 3, 602--624 (2020; Zbl 1441.16026) Full Text: DOI arXiv OpenURL
Kiefer, Ann On units in orders in 2-by-2 matrices over quaternion algebras with rational center. (English) Zbl 1481.20186 Groups Geom. Dyn. 14, No. 1, 213-242 (2020). MSC: 20H10 22E40 16U60 20F05 PDF BibTeX XML Cite \textit{A. Kiefer}, Groups Geom. Dyn. 14, No. 1, 213--242 (2020; Zbl 1481.20186) Full Text: DOI arXiv OpenURL
Caicedo, Mauricio; Del Río, Ángel On the Zassenhaus conjecture for certain cyclic-by-nilpotent groups. (English) Zbl 1439.16036 Mediterr. J. Math. 17, No. 2, Paper No. 62, 17 p. (2020). MSC: 16U60 16S34 20C05 20C10 PDF BibTeX XML Cite \textit{M. Caicedo} and \textit{Á. Del Río}, Mediterr. J. Math. 17, No. 2, Paper No. 62, 17 p. (2020; Zbl 1439.16036) Full Text: DOI arXiv OpenURL
Hai, Jin Ke; Zhu, Yi Xin The normalizer property for integral group rings of holomorphs of finite groups with trivial center. (English) Zbl 1477.20003 Acta Math. Sin., Engl. Ser. 36, No. 4, 401-406 (2020). MSC: 20C05 16S34 20C10 PDF BibTeX XML Cite \textit{J. K. Hai} and \textit{Y. X. Zhu}, Acta Math. Sin., Engl. Ser. 36, No. 4, 401--406 (2020; Zbl 1477.20003) Full Text: DOI OpenURL
Küsmüş, Ömer; Low, Richard M. Units in \(\mathbb{Z}(C_n \times C_5)\). (English) Zbl 1428.16027 Palest. J. Math. 9, No. 1, 386-395 (2020). MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{Ö. Küsmüş} and \textit{R. M. Low}, Palest. J. Math. 9, No. 1, 386--395 (2020; Zbl 1428.16027) Full Text: Link OpenURL
Bovdi, Victor; Breuer, Thomas; Maróti, Attila Finite simple groups with short Galois orbits on conjugacy classes. (English) Zbl 1437.16031 J. Algebra 544, 151-169 (2020). Reviewer: Todor Mollov (Plovdiv) MSC: 16U60 16S34 20E45 20K15 20D05 PDF BibTeX XML Cite \textit{V. Bovdi} et al., J. Algebra 544, 151--169 (2020; Zbl 1437.16031) Full Text: DOI arXiv OpenURL
Zhang, Yakun; Tang, Guoping On the structures of \({K_2} (\mathbb{Z}[{C_6}])\) and \({K_2} (\mathbb{Z}[{C_{10}}])\). (English) Zbl 1449.19001 Adv. Math., Beijing 48, No. 6, 757-760 (2019). MSC: 19C20 16S34 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{G. Tang}, Adv. Math., Beijing 48, No. 6, 757--760 (2019; Zbl 1449.19001) OpenURL
Margolis, Leo; del Rio, Ángel Finite subgroups of group rings: a survey. (English) Zbl 1443.16044 Adv. Group Theory Appl. 8, 1-37 (2019). MSC: 16U60 16S34 20C05 20C10 PDF BibTeX XML Cite \textit{L. Margolis} and \textit{Á. del Rio}, Adv. Group Theory Appl. 8, 1--37 (2019; Zbl 1443.16044) Full Text: DOI arXiv OpenURL
Guo, W.; Lytkina, D. V.; Mazurov, V. D.; Revin, D. O. Integral Cayley graphs. (English. Russian original) Zbl 1434.05069 Algebra Logic 58, No. 4, 297-305 (2019); translation from Algebra Logika 58, No. 4, 445-457 (2019). MSC: 05C25 05C50 PDF BibTeX XML Cite \textit{W. Guo} et al., Algebra Logic 58, No. 4, 297--305 (2019; Zbl 1434.05069); translation from Algebra Logika 58, No. 4, 445--457 (2019) Full Text: DOI arXiv OpenURL
Bovdi, V.; Dashkova, O. Yu.; Salim, M. A. Subgroups of a finitary linear group. (English) Zbl 1453.20071 Ric. Mat. 68, No. 2, 803-809 (2019). MSC: 20H25 20E07 13E05 PDF BibTeX XML Cite \textit{V. Bovdi} et al., Ric. Mat. 68, No. 2, 803--809 (2019; Zbl 1453.20071) Full Text: DOI arXiv OpenURL
Ferri, Fabio; Greither, Cornelius Tame Galois module structure revisited. (English) Zbl 1473.11208 Ann. Mat. Pura Appl. (4) 198, No. 6, 2029-2042 (2019). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R33 11R29 PDF BibTeX XML Cite \textit{F. Ferri} and \textit{C. Greither}, Ann. Mat. Pura Appl. (4) 198, No. 6, 2029--2042 (2019; Zbl 1473.11208) Full Text: DOI arXiv OpenURL
Mazza, Nadia; Symonds, Peter The stable category and invertible modules for infinite groups. (English) Zbl 1457.20005 Adv. Math. 358, Article ID 106853, 26 p. (2019). Reviewer: Shengyong Pan (Beijing) MSC: 20C07 20C12 16E05 20C20 PDF BibTeX XML Cite \textit{N. Mazza} and \textit{P. Symonds}, Adv. Math. 358, Article ID 106853, 26 p. (2019; Zbl 1457.20005) Full Text: DOI arXiv OpenURL
Coquand, Thierry; Lombardi, Henri; Neuwirth, Stefan Lattice-ordered groups generated by an ordered group and regular systems of ideals. (English) Zbl 07113696 Rocky Mt. J. Math. 49, No. 5, 1449-1489 (2019). MSC: 06F20 06F05 13A15 13B22 PDF BibTeX XML Cite \textit{T. Coquand} et al., Rocky Mt. J. Math. 49, No. 5, 1449--1489 (2019; Zbl 07113696) Full Text: DOI arXiv Euclid OpenURL
Bächle, Andreas; Margolis, Leo An application of blocks to torsion units in group rings. (English) Zbl 1444.16052 Proc. Am. Math. Soc. 147, No. 10, 4221-4231 (2019). Reviewer: Peter Danchev (Sofia) MSC: 16U60 20C05 20C20 PDF BibTeX XML Cite \textit{A. Bächle} and \textit{L. Margolis}, Proc. Am. Math. Soc. 147, No. 10, 4221--4231 (2019; Zbl 1444.16052) Full Text: DOI arXiv OpenURL
Edison, Jeremy; Iovanov, Miodrag C. On invertible algebras. (English) Zbl 1448.16032 J. Algebra 538, 1-34 (2019). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16S34 16B99 13G05 15A03 16U60 16S50 16D90 16L30 PDF BibTeX XML Cite \textit{J. Edison} and \textit{M. C. Iovanov}, J. Algebra 538, 1--34 (2019; Zbl 1448.16032) Full Text: DOI OpenURL
Kuo, Wentang; Sun, Wei-Liang The multiplicative Jordan decomposition in the integral group ring \(\mathbb{Z} [Q_8 \times C_p]\). (English) Zbl 1446.20013 J. Algebra 534, 16-33 (2019). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 20C05 16U60 16S34 PDF BibTeX XML Cite \textit{W. Kuo} and \textit{W.-L. Sun}, J. Algebra 534, 16--33 (2019; Zbl 1446.20013) Full Text: DOI arXiv OpenURL
Spirito, Dario Jaffard families and localizations of star operations. (English) Zbl 1423.13033 J. Commut. Algebra 11, No. 2, 265-300 (2019). Reviewer: Moshe Roitman (Haifa) MSC: 13A15 13C20 13F05 13F30 13G05 PDF BibTeX XML Cite \textit{D. Spirito}, J. Commut. Algebra 11, No. 2, 265--300 (2019; Zbl 1423.13033) Full Text: DOI arXiv Euclid OpenURL
Semikina, Julia A note on the Hambleton-Taylor-Williams conjecture. (English) Zbl 1423.19004 J. Pure Appl. Algebra 223, No. 10, 4509-4523 (2019). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19D50 19D06 19B28 20C10 20C20 PDF BibTeX XML Cite \textit{J. Semikina}, J. Pure Appl. Algebra 223, No. 10, 4509--4523 (2019; Zbl 1423.19004) Full Text: DOI arXiv OpenURL
Margolis, Leo; del Río, Ángel Partial augmentations power property: a Zassenhaus conjecture related problem. (English) Zbl 1437.16032 J. Pure Appl. Algebra 223, No. 9, 4089-4101 (2019). Reviewer: Dmitry Artamonov (Moskva) MSC: 16U60 16S34 20C05 20C10 PDF BibTeX XML Cite \textit{L. Margolis} and \textit{Á. del Río}, J. Pure Appl. Algebra 223, No. 9, 4089--4101 (2019; Zbl 1437.16032) Full Text: DOI arXiv OpenURL
Margolis, Leo; del Río, Ángel; Serrano, Mariano Zassenhaus conjecture on torsion units holds for \(\mathrm{PSL}(2,p)\) with \(p\) a Fermat or Mersenne prime. (English) Zbl 1450.16025 J. Algebra 531, 320-335 (2019). Reviewer: Peter Danchev (Sofia) MSC: 16U60 16S34 PDF BibTeX XML Cite \textit{L. Margolis} et al., J. Algebra 531, 320--335 (2019; Zbl 1450.16025) Full Text: DOI arXiv OpenURL
Bakshi, Gurmeet K.; Maheshwary, Sugandha; Passi, Inder Bir S. Group rings and the RS property. (English) Zbl 1455.16032 Commun. Algebra 47, No. 3, 969-977 (2019). Reviewer: Todor Mollov (Plovdiv) MSC: 16U60 16S34 20C07 20E06 20E45 20F14 PDF BibTeX XML Cite \textit{G. K. Bakshi} et al., Commun. Algebra 47, No. 3, 969--977 (2019; Zbl 1455.16032) Full Text: DOI arXiv OpenURL
Fischbacher-Weitz, Helena; Köck, Bernhard; Marmora, Adriano Galois-module theory for wildly ramified covers of curves over finite fields (with an appendix by Bernhard Köck and Adriano Marmora). (English) Zbl 1454.11209 Doc. Math. 24, 175-208 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R58 11R33 14G10 14G15 14H30 PDF BibTeX XML Cite \textit{H. Fischbacher-Weitz} et al., Doc. Math. 24, 175--208 (2019; Zbl 1454.11209) Full Text: DOI arXiv OpenURL
Zhang, Yakun; Tang, Guoping; Chen, Hong On the structures of \(K_2(\mathbb Z[G])\), \(G\) a finite abelian \(p\)-group. (English) Zbl 1450.16018 Algebra Colloq. 26, No. 1, 105-112 (2019). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 16S34 19C40 19C99 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Algebra Colloq. 26, No. 1, 105--112 (2019; Zbl 1450.16018) Full Text: DOI OpenURL
Bächle, Andreas; Margolis, Leo On the prime graph question for integral group rings of 4-primary groups. II. (English) Zbl 1408.16020 Algebr. Represent. Theory 22, No. 2, 437-457 (2019). MSC: 16S34 16U60 20C05 PDF BibTeX XML Cite \textit{A. Bächle} and \textit{L. Margolis}, Algebr. Represent. Theory 22, No. 2, 437--457 (2019; Zbl 1408.16020) Full Text: DOI arXiv OpenURL
Trefethen, Stephen Non-abelian composition factors of finite groups with the CUT-property. (English) Zbl 1431.16025 J. Algebra 522, 236-242 (2019). Reviewer: Todor Mollov (Plovdiv) MSC: 16S34 20C05 PDF BibTeX XML Cite \textit{S. Trefethen}, J. Algebra 522, 236--242 (2019; Zbl 1431.16025) Full Text: DOI OpenURL
Bakshi, Gurmeet K.; Kaur, Gurleen A generalization of strongly monomial groups. (English) Zbl 1448.16031 J. Algebra 520, 419-439 (2019). Reviewer: Peter Danchev (Sofia) MSC: 16S34 16K20 16S35 20C05 16U60 PDF BibTeX XML Cite \textit{G. K. Bakshi} and \textit{G. Kaur}, J. Algebra 520, 419--439 (2019; Zbl 1448.16031) Full Text: DOI arXiv OpenURL
Jia, Ling The Morita contexts and Galois extensions for weak Hopf group coalgebras. (English) Zbl 07546107 Filomat 32, No. 11, 4099-4112 (2018). MSC: 16W30 PDF BibTeX XML Cite \textit{L. Jia}, Filomat 32, No. 11, 4099--4112 (2018; Zbl 07546107) Full Text: DOI OpenURL
Ghobadi, Aryan Fox derivatives: a unique connection between group presentations and the integral group ring. (English) Zbl 1436.20057 Adv. Group Theory Appl. 6, 3-21 (2018). MSC: 20F05 20F10 16U60 16S34 PDF BibTeX XML Cite \textit{A. Ghobadi}, Adv. Group Theory Appl. 6, 3--21 (2018; Zbl 1436.20057) Full Text: DOI OpenURL
Cho, Sungmun A uniform construction of smooth integral models and a conjectural recipe for computing local densities. (English) Zbl 1444.11056 Int. Math. Res. Not. 2018, No. 12, 3870-3907 (2018). MSC: 11E95 11E08 11E39 11E41 11E57 14L15 20G25 PDF BibTeX XML Cite \textit{S. Cho}, Int. Math. Res. Not. 2018, No. 12, 3870--3907 (2018; Zbl 1444.11056) Full Text: DOI arXiv OpenURL
Evans, J. D. P. Stably free cancellation for group rings of metacyclic type. (English) Zbl 1426.16022 Q. J. Math. 70, No. 2, 603-618 (2019). Reviewer: Todor Mollov (Plovdiv) MSC: 16S34 16U60 16D40 PDF BibTeX XML Cite \textit{J. D. P. Evans}, Q. J. Math. 70, No. 2, 603--618 (2018; Zbl 1426.16022) Full Text: DOI OpenURL
Deng, Yingpu; Lv, Chang; Shentu, Junchao On the integral representation of binary quadratic forms and the Artin condition. (English) Zbl 1453.11052 Tokyo J. Math. 41, No. 2, 371-384 (2018). MSC: 11E12 11D09 11D57 11R37 14L30 PDF BibTeX XML Cite \textit{Y. Deng} et al., Tokyo J. Math. 41, No. 2, 371--384 (2018; Zbl 1453.11052) Full Text: DOI arXiv OpenURL
Dutta, Jutirekha; Nath, Rajat Kanti Laplacian and signless Laplacian spectrum of commuting graphs of finite groups. (English) Zbl 1412.05091 Khayyam J. Math. 4, No. 1, 77-87 (2018). MSC: 05C25 05C50 15A18 PDF BibTeX XML Cite \textit{J. Dutta} and \textit{R. K. Nath}, Khayyam J. Math. 4, No. 1, 77--87 (2018; Zbl 1412.05091) Full Text: DOI OpenURL
Wei, Yangjiang; Su, Leilei; Tang, Gaohua On the unit groups of the quotient rings of imaginary quadratic number rings. (English) Zbl 1424.11152 J. Math., Wuhan Univ. 38, No. 4, 602-618 (2018). MSC: 11R04 13G05 13M05 PDF BibTeX XML Cite \textit{Y. Wei} et al., J. Math., Wuhan Univ. 38, No. 4, 602--618 (2018; Zbl 1424.11152) Full Text: DOI OpenURL
Hai, Jinke; Guo, Jidong A note on Zassenhaus’s conjecture. (Chinese. English summary) Zbl 1424.20002 Acta Math. Sin., Chin. Ser. 61, No. 3, 441-446 (2018). MSC: 20C05 20C10 16S34 16U60 PDF BibTeX XML Cite \textit{J. Hai} and \textit{J. Guo}, Acta Math. Sin., Chin. Ser. 61, No. 3, 441--446 (2018; Zbl 1424.20002) OpenURL
Li, Zhengxing; Gao, Hongwei The influence of maximal subgroups on Coleman automorphisms of finite groups. (English) Zbl 1413.16033 Publ. Math. Debr. 92, No. 1-2, 101-113 (2018). MSC: 16S34 20C10 PDF BibTeX XML Cite \textit{Z. Li} and \textit{H. Gao}, Publ. Math. Debr. 92, No. 1--2, 101--113 (2018; Zbl 1413.16033) Full Text: DOI OpenURL
Bächle, Andreas; Herman, Allen; Konovalov, Alexander; Margolis, Leo; Singh, Gurmail The status of the Zassenhaus conjecture for small groups. (English) Zbl 1403.16034 Exp. Math. 27, No. 4, 431-436 (2018). MSC: 16U60 16S34 20C05 20C10 PDF BibTeX XML Cite \textit{A. Bächle} et al., Exp. Math. 27, No. 4, 431--436 (2018; Zbl 1403.16034) Full Text: DOI arXiv Link OpenURL
Voskresenskaya, G. V. Dedekind \(\eta\)-function in modern research. (English. Russian original) Zbl 1435.11075 J. Math. Sci., New York 235, No. 6, 788-822 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 136, 103-137 (2017). MSC: 11F20 20C05 11F11 PDF BibTeX XML Cite \textit{G. V. Voskresenskaya}, J. Math. Sci., New York 235, No. 6, 788--822 (2018; Zbl 1435.11075); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 136, 103--137 (2017) Full Text: DOI OpenURL
Agboola, Adebisi; McCulloh, Leon On the relative Galois module structure of rings of integers in tame extensions. (English) Zbl 1466.11085 Algebra Number Theory 12, No. 8, 1823-1886 (2018). Reviewer: Henri Johnston (Exeter) MSC: 11R33 11R32 11R65 19F99 PDF BibTeX XML Cite \textit{A. Agboola} and \textit{L. McCulloh}, Algebra Number Theory 12, No. 8, 1823--1886 (2018; Zbl 1466.11085) Full Text: DOI arXiv OpenURL
Bächle, Andreas; Margolis, Leo HeLP: a GAP package for torsion units in integral group rings. (English) Zbl 1404.16047 J. Softw. Algebra Geom. 8, 1-9 (2018). MSC: 16Z05 16U60 16S34 20C05 PDF BibTeX XML Cite \textit{A. Bächle} and \textit{L. Margolis}, J. Softw. Algebra Geom. 8, 1--9 (2018; Zbl 1404.16047) Full Text: DOI arXiv OpenURL
Eisele, Florian; Margolis, Leo A counterexample to the first Zassenhaus conjecture. (English) Zbl 1433.16028 Adv. Math. 339, 599-641 (2018). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 16S34 16U60 20C11 20C05 PDF BibTeX XML Cite \textit{F. Eisele} and \textit{L. Margolis}, Adv. Math. 339, 599--641 (2018; Zbl 1433.16028) Full Text: DOI arXiv Link OpenURL
Maheshwary, Sugandha Integral group rings with all central units trivial: solvable groups. (English) Zbl 1400.16028 Indian J. Pure Appl. Math. 49, No. 1, 169-175 (2018). MSC: 16U60 20C05 16S34 20D10 PDF BibTeX XML Cite \textit{S. Maheshwary}, Indian J. Pure Appl. Math. 49, No. 1, 169--175 (2018; Zbl 1400.16028) Full Text: DOI arXiv OpenURL
Turkalj, Ivica Reflective Lorentzian lattices of signature \((5,1)\). (English) Zbl 1415.11090 J. Algebra 513, 516-544 (2018). Reviewer: Lenny Fukshansky (Claremont) MSC: 11H55 11E12 20F55 PDF BibTeX XML Cite \textit{I. Turkalj}, J. Algebra 513, 516--544 (2018; Zbl 1415.11090) Full Text: DOI Link OpenURL
Margolis, Leo; del Río, Ángel An algorithm to construct candidates to counterexamples to the Zassenhaus conjecture. (English) Zbl 1446.16042 J. Algebra 514, 536-558 (2018). Reviewer: Peter Danchev (Sofia) MSC: 16U60 16S34 20C05 20C10 PDF BibTeX XML Cite \textit{L. Margolis} and \textit{Á. del Río}, J. Algebra 514, 536--558 (2018; Zbl 1446.16042) Full Text: DOI arXiv OpenURL
Lu, Lu; Huang, Qiongxiang; Huang, Xueyi Integral Cayley graphs over dihedral groups. (English) Zbl 1394.05047 J. Algebr. Comb. 47, No. 4, 585-601 (2018). MSC: 05C25 05C50 PDF BibTeX XML Cite \textit{L. Lu} et al., J. Algebr. Comb. 47, No. 4, 585--601 (2018; Zbl 1394.05047) Full Text: DOI arXiv OpenURL
Hamed, Ahmed Extensions of Nagata’s theorem. (English) Zbl 1393.13027 J. Korean Math. Soc. 55, No. 4, 797-808 (2018). MSC: 13C20 13F05 13A15 13G05 PDF BibTeX XML Cite \textit{A. Hamed}, J. Korean Math. Soc. 55, No. 4, 797--808 (2018; Zbl 1393.13027) Full Text: Link OpenURL
Bächle, Andreas Integral group rings of solvable groups with trivial central units. (English) Zbl 1407.16033 Forum Math. 30, No. 4, 845-855 (2018). MSC: 16U60 20C15 20E45 PDF BibTeX XML Cite \textit{A. Bächle}, Forum Math. 30, No. 4, 845--855 (2018; Zbl 1407.16033) Full Text: DOI arXiv OpenURL
Ladisch, Frieder; Schürmann, Achill Equivalence of lattice orbit polytopes. (English) Zbl 1486.52027 SIAM J. Appl. Algebra Geom. 2, No. 2, 259-280 (2018). MSC: 52B20 20C10 16U60 20B25 20C15 52B12 90C10 PDF BibTeX XML Cite \textit{F. Ladisch} and \textit{A. Schürmann}, SIAM J. Appl. Algebra Geom. 2, No. 2, 259--280 (2018; Zbl 1486.52027) Full Text: DOI arXiv OpenURL
Hai, Jinke; Zhu, Yixin On Coleman automorphisms of extensions of finite quasinilpotent groups by some groups. (English) Zbl 1398.20029 Algebra Colloq. 25, No. 2, 181-188 (2018). MSC: 20D45 20C05 16S34 16U60 20C10 20E22 PDF BibTeX XML Cite \textit{J. Hai} and \textit{Y. Zhu}, Algebra Colloq. 25, No. 2, 181--188 (2018; Zbl 1398.20029) Full Text: DOI OpenURL
Hai, Jinke; Guo, Jidong The normalizer property of integral group rings of semidirect products of finite 2-closed groups by rational groups. (English) Zbl 1388.20009 Commun. Algebra 46, No. 3, 1237-1242 (2018). MSC: 20C05 16U60 16S34 20C10 20E22 PDF BibTeX XML Cite \textit{J. Hai} and \textit{J. Guo}, Commun. Algebra 46, No. 3, 1237--1242 (2018; Zbl 1388.20009) Full Text: DOI OpenURL
Margolis, Leo; del Río, Ángel Cliff-Weiss inequalities and the Zassenhaus conjecture. (English) Zbl 1420.16026 J. Algebra 507, 292-319 (2018). MSC: 16U60 16S34 20C05 20C10 PDF BibTeX XML Cite \textit{L. Margolis} and \textit{Á. del Río}, J. Algebra 507, 292--319 (2018; Zbl 1420.16026) Full Text: DOI arXiv OpenURL
Del Corso, Ilaria; Dvornicich, Roberto On Fuchs’ problem about the group of units of a ring. (English) Zbl 1428.16036 Bull. Lond. Math. Soc. 50, No. 2, 274-292 (2018). Reviewer: Todor Mollov (Plovdiv) MSC: 16U60 13A05 20K15 PDF BibTeX XML Cite \textit{I. Del Corso} and \textit{R. Dvornicich}, Bull. Lond. Math. Soc. 50, No. 2, 274--292 (2018; Zbl 1428.16036) Full Text: DOI arXiv OpenURL
Macedo, Tiago; Castilho de Mello, Thiago Automorphisms of ideals of polynomial rings. (English) Zbl 1408.13006 Bull. Braz. Math. Soc. (N.S.) 49, No. 1, 1-15 (2018). Reviewer: Vesselin Drensky (Sofia) MSC: 13A15 08A35 13A50 13B25 13F20 13G05 14E07 16W20 PDF BibTeX XML Cite \textit{T. Macedo} and \textit{T. Castilho de Mello}, Bull. Braz. Math. Soc. (N.S.) 49, No. 1, 1--15 (2018; Zbl 1408.13006) Full Text: DOI arXiv OpenURL
Hayami, Takao On Hochschild cohomology ring and integral cohomology ring for the semidihedral group. (English) Zbl 1417.16009 Int. J. Algebra Comput. 28, No. 2, 257-290 (2018). MSC: 16E40 20J06 PDF BibTeX XML Cite \textit{T. Hayami}, Int. J. Algebra Comput. 28, No. 2, 257--290 (2018; Zbl 1417.16009) Full Text: DOI OpenURL
Linckelmann, Markus The block theory of finite group algebras. Volume 2. (English) Zbl 06854374 London Mathematical Society Student Texts 92. Cambridge: Cambridge University Press (ISBN 978-1-108-44180-3/pbk; 978-1-108-42590-2/hbk; 978-1-108-34930-7/ebook; 978-1-108-44190-2/set). xi, 510 p. (2018). MSC: 20-02 20C05 20C10 20C20 PDF BibTeX XML Cite \textit{M. Linckelmann}, The block theory of finite group algebras. Volume 2. Cambridge: Cambridge University Press (2018; Zbl 06854374) Full Text: DOI OpenURL
Linckelmann, Markus The block theory of finite group algebras. Volume 1. (English) Zbl 06854373 London Mathematical Society Student Texts 91. Cambridge: Cambridge University Press (ISBN 978-1-108-44183-4/pbk; 978-1-108-42591-9/hbk; 978-1-108-34932-1/ebook; 978-1-108-44190-2/set). x, 515 p. (2018). MSC: 20-02 20C05 20C10 20C20 PDF BibTeX XML Cite \textit{M. Linckelmann}, The block theory of finite group algebras. Volume 1. Cambridge: Cambridge University Press (2018; Zbl 06854373) Full Text: DOI OpenURL
Basak, Tathagata The octonions as a twisted group algebra. (English) Zbl 1410.17002 Finite Fields Appl. 50, 113-121 (2018). MSC: 17A35 16S35 16H99 PDF BibTeX XML Cite \textit{T. Basak}, Finite Fields Appl. 50, 113--121 (2018; Zbl 1410.17002) Full Text: DOI arXiv OpenURL
Gildea, Joe Torsion units for some projected special linear groups. (English) Zbl 1445.20004 Int. J. Group Theory 6, No. 1, 37-53 (2017). MSC: 20C05 16S34 16U60 05C25 PDF BibTeX XML Cite \textit{J. Gildea}, Int. J. Group Theory 6, No. 1, 37--53 (2017; Zbl 1445.20004) Full Text: DOI OpenURL
Bächle, Andreas; Kimmerle, Wolfgang; Margolis, Leo Algorithmic aspects of units in group rings. (English) Zbl 1400.16016 Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer (ISBN 978-3-319-70565-1/hbk; 978-3-319-70566-8/ebook). 1-22 (2017). MSC: 16S34 16U60 20C05 20C40 PDF BibTeX XML Cite \textit{A. Bächle} et al., in: Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 1--22 (2017; Zbl 1400.16016) Full Text: DOI arXiv OpenURL
Zhao, Huifang; Nan, Jizhu On the structure of the augmentation quotient group for some non-abelian \(p\)-groups. (English) Zbl 1399.16066 Commun. Math. Res. 33, No. 4, 289-303 (2017). MSC: 16S34 20C05 PDF BibTeX XML Cite \textit{H. Zhao} and \textit{J. Nan}, Commun. Math. Res. 33, No. 4, 289--303 (2017; Zbl 1399.16066) Full Text: DOI OpenURL
Hai, Jinke; Lv, Xinxin The torsion units of the integral group ring of the direct product of the alternative group \(A_5\) and the dihedral group \(D_6\). (Chinese. English summary) Zbl 1413.16052 Acta Math. Sin., Chin. Ser. 60, No. 6, 983-992 (2017). MSC: 16U60 20C05 20C10 16S34 PDF BibTeX XML Cite \textit{J. Hai} and \textit{X. Lv}, Acta Math. Sin., Chin. Ser. 60, No. 6, 983--992 (2017; Zbl 1413.16052) OpenURL
Macias Castillo, Daniel On the Krull-Schmidt decomposition of Mordell-Weil groups. (English) Zbl 1434.11122 Tokyo J. Math. 40, No. 2, 353-378 (2017). MSC: 11G35 11R33 11R34 PDF BibTeX XML Cite \textit{D. Macias Castillo}, Tokyo J. Math. 40, No. 2, 353--378 (2017; Zbl 1434.11122) Full Text: Euclid OpenURL
Endo, Shizuo; Kang, Ming-Chang Function fields of algebraic tori revisited. (English) Zbl 1388.14048 Asian J. Math. 21, No. 2, 197-224 (2017). Reviewer: Ivo M. Michailov (Shumen) MSC: 14E08 11R33 20C10 11R29 PDF BibTeX XML Cite \textit{S. Endo} and \textit{M.-C. Kang}, Asian J. Math. 21, No. 2, 197--224 (2017; Zbl 1388.14048) Full Text: DOI OpenURL